# How do I find sidelength FG of triangle?

• Apr 10th 2011, 04:49 AM
xerito
How do I find sidelength FG of triangle?
How do I find FG?
Can anyone help?
Attachment 21413
• Apr 10th 2011, 05:14 AM
veileen
Indication:

Use cosine theorem (also known as generalization of the Pythagorean theorem).
• Apr 10th 2011, 05:43 AM
earboth
Quote:

Originally Posted by xerito
How do I find FG?
Can anyone help?
Attachment 21413

1. Split the triangle into 2 congruent 30-60-right-triangles. That means h = 5.

2. FG = 2x

$x^2+5^2=10^2~\implies~x=5\sqrt{3}$

Therefore $FG = 10\sqrt{3}$